Question

Exercício: Determine a soma S e o produto P das raízes das equações, sem resolve-las:
a. x2 − 6x + 8 = 0 S = __________ P = __________
b. 5x2 + 10x − 20 = 0 S = __________ P = __________
c. 3x2 − 6x − 10 = 0 S = __________ P = __________
d. 7x2 + 14 x − 21 = 0 S = __________ P = __________
e. x2 − 3x = 0 S = __________ P = __________
f. x2 + 7x = 0 S = __________ P = __________
g. x2 − 9 = 0 S = __________ P = __________
h. 5x2 + 7x = 0 S = __________ P = __________
i. 9x2 − 18x = 0 S = __________ P = __________
j. 6x2 = 0 S = __________ P = __________

k. 3x2 + 5x − 7 S = __________ P = __________
l. 8x2 − 3x − 16 = 0

Answer 1

Resposta:

S = -b/a

P = c/a

Explicação passo-a-passo:

a) S = - (-6)/ 1 P = 8/1

S = 6 P = 8

b) S = -10/5 P = -20/5

S = -2 P = -4

c) S = 6/3 P = - 10/3

S = 2 P = - 3,333...

d) S = -14/7 P = -21/7

S = -2 P = -3

e) S = 3 P = 0

f) S = -7/2 P = 0

g) S= 9 P = 0

h) S = -7/5 P = 0

i) S = 18/9 = 2 P = 0

j) S= 0 P = 0

k) S = -5/3 P = -7/3

l) S = 3/8 P = -16/8 = -2